An Existence Theorem for Weak Solution of a Nonlinear Dam Problem

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper, it is shown that the well known p-harmonic equation in the theory of quasi-conformal mappings also describes some porous medium flows. A weak formulation is made for a free boundary problem with a dam domain. An existence theorem is established for this problem which points the way to a computational approach to the solution.

Original languageEnglish
Pages (from-to)219-230
Number of pages12
JournalApplicable Analysis
Volume34
Issue number3-4
DOIs
Publication statusPublished - Jan 1 1989
Externally publishedYes

Fingerprint

Porous Media Flow
P-harmonic
Conformal mapping
Quasiconformal Mapping
Weak Formulation
Free Boundary Problem
Existence Theorem
Dams
Weak Solution
Porous materials

Keywords

  • free boundary problem
  • monotone operator
  • p-harmonic equation
  • porous media

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

An Existence Theorem for Weak Solution of a Nonlinear Dam Problem. / Wei, Dongming.

In: Applicable Analysis, Vol. 34, No. 3-4, 01.01.1989, p. 219-230.

Research output: Contribution to journalArticle

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